A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature

Details A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature

2003-09-12

arxiv.org/abs/hep-lat/0309057v3

Phys.Rev. D69 (2004) 074511

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 5 figures, Revised version as to be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.69.074511

We report on a numerical reinvestigation of the Aoki phase in lattice QCD with two flavors of Wilson fermions where the parity-flavor symmetry is spontaneously broken. For this purpose an explicitly symmetry-breaking source term $h\bar{\psi} i \gamma_{5} \tau^{3}\psi$ was added to the fermion action. The order parameter $<\bar{\psi} i \gamma_{5}\tau^{3}\psi>$ was computed with the Hybrid Monte Carlo algorithm at several values of $(\beta,\kappa,h)$ on lattices of sizes $4^4$ to $12^4$ and extrapolated to $h=0$. The existence of a parity-flavor breaking phase can be confirmed at $\beta=4.0$ and 4.3, while we do not find parity-flavor breaking at $\beta=4.6$ and 5.0.

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